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Finding the Fourth Proportional to 164,218.50, 226,621.62 and 88,767

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Solution

The fourth proportional to 164,218.50, 226,621.62 and 88,767 is: 122,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,218.50 : 226,621.62 = 88,767 : x
  2. Step 2: Convert to fraction form
    164,218.50/226,621.62 = 88,767/x
  3. Step 3: Cross multiply
    164,218.50x = 226,621.62 × 88,767
  4. Step 4: Simplify right side
    164,218.50x = 20,116,521,342.54
  5. Step 5: Solve for x
    x = 20,116,521,342.54/164,218.50
  6. Step 6: Final answer
    x = 122,498.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.